Sorry that happened to you, as it also happened to me about a dozen years ago, except I was right handed and broke my right near the wrist.
So, congratulations, you are now right handed, like it or not, at least temporarily. This is an excellent opportunity to learn to shoot one-handed with what used to be the wrong hand. You will most likely come out of this with a greater degree of ambidexterity than you ever had before. There might even be some tasks that you will become right-handed for and never go back on when you could. I assume you will be in a cast and for a while you should do nothing at all with that hand. In my experience, at 8 weeks I was ready and eager to get out of the cast. It didn't hurt anymore and I was doing a lot of things with my fingers and able to use that hand again for some time. But when I got the cast off, I then had a range of mobility that was previously restricted by the cast; and that much extra mobility hurt like hell for a while. I had to protect my arm all over again for a few weeks, and it would occasionally hurt for a year. My only handgun at the time was a 45 Colt Vaquero, which I learned to shoot left-handed. I was probably shooting it with my right hand and left-hand support within a couple of months of coming out of the cast....but not with hot loads!
Do you smoke? If so, quit now; you will heal faster, better and more completely. Smoking interferes with the healing of broken bones.
It's really a drag that this happened to you, but it's also an opportunity, and it could have been worse. I hope you heal quickly and make a full recovery.
To everyone else that reads this, I will say right now; Ladders are dangerous!
But you, of course, already know that now. Get well and remember that Springtime is coming.